Goodness-of-fit test in a multivariate errors-in-variables model \(AX = B\)
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Publication:502542
DOI10.15559/16-VMSTA67zbMath1353.62061arXiv1608.05122MaRDI QIDQ502542
Yaroslav Tsaregorodtsev, Alexander G. Kukush
Publication date: 5 January 2017
Published in: Modern Stochastics. Theory and Applications (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1608.05122
local alternativesgoodness-of-fit testmultivariate errors-in-variables modelpower of testtotal least squares estimator
Linear regression; mixed models (62J05) Hypothesis testing in multivariate analysis (62H15) Numerical solutions to overdetermined systems, pseudoinverses (65F20)
Cites Work
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- Asymptotic normality of total least squares estimator in a multivariate errors-in-variables model \(AX = B\)
- Estimation in a multivariate errors in variables regression model: Large sample results
- Consistency of elementwise-weighted total least squares estimator in a multivariate errors-in-variables model \(AX=B\)
- Testing the suitability of polynomial models in errors-in-variables problems
- Conditions for the consistency of the total least squares estimator in an errors-in-variables linear regression model
- Measurement Error in Nonlinear Models
- Generalized two-parameter Lebesgue-Stieltjes integrals and their applications to fractional Brownian fields
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